<p>In this note, we prove the <i>p</i>th power (<InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <mi>p</mi> <mo>≥</mo> <mn>2</mn> </math></EquationSource> <EquationSource Format="TEX">$p\geq 2$</EquationSource> </InlineEquation>) of two new sector operator inequalities for positive linear maps which are due to Bedrani et al. (Positivity 25:1601-1629, <CitationRef CitationID="CR2">2021</CitationRef>) and Nasiri (Filomat 38:3429-3438, <CitationRef CitationID="CR13">2024</CitationRef>), respectively. An application of our results will be included.</p>

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Sector operator inequalities involving positive linear maps

  • Jiqin Chen,
  • Xiaohui Fu,
  • Qi Song,
  • Chuchu Tang

摘要

In this note, we prove the pth power ( p 2 $p\geq 2$ ) of two new sector operator inequalities for positive linear maps which are due to Bedrani et al. (Positivity 25:1601-1629, 2021) and Nasiri (Filomat 38:3429-3438, 2024), respectively. An application of our results will be included.